Driven tracers in narrow channels

Cividini, Julien; Mukamel, David; Posch, Harald A.

doi:10.1103/physreve.95.012110

Cited by 17 publications

(23 citation statements)

References 43 publications

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“…In this letter, we introduce a minimal model of discrete time RTP moving on a d-dimensional cubic lattice in the presence of diffusing hard-core obstacles of density ρ, which model a potentially dynamic disordered environment. In particular, this generalizes to RTPs questions that have attracted a lot of attention for passively diffusing particles [42] and externally driven tracers [43][44][45][46]. We determine analytically numerous observables characterising the dynamics : the mean free run time, defined as the mean time between consecutive collisions of the RTP with obstacles, the mean trapping time of the RTP by obstacles, and the large-scale diffusion coefficient of the RTP.…”

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confidence: 99%

Optimized Diffusion of Run-and-Tumble Particles in Crowded Environments

et al. 2018

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We study the transport of self-propelled particles in dynamic complex environments. To obtain exact results, we introduce a model of run-and-tumble particles (RTPs) moving in discrete time on a d-dimensional cubic lattice in the presence of diffusing hard-core obstacles. We derive an explicit expression for the diffusivity of the RTP, which is exact in the limit of low density of fixed obstacles. To do so, we introduce a generalization of Kac's theorem on the mean return times of Markov processes, which we expect to be relevant for a large class of lattice gas problems. Our results show the diffusivity of RTPs to be nonmonotonic in the tumbling probability for low enough obstacle mobility. These results prove the potential for the optimization of the transport of RTPs in crowded and disordered environments with applications to motile artificial and biological systems.

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confidence: 99%

Optimized Diffusion of Run-and-Tumble Particles in Crowded Environments

et al. 2018

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“…Beyond this distance, the approach of the density to its unperturbed value ρ becomes exponential, with the characteristic length dependent on L and diverging when L → ∞. This overall behaviour has been confirmed numerically for lattice systems using Monte Carlo simulations [210,211] and also for off-lattice, strip-like geometries with hard-core particles with Langevin dynamics [211]. Returning to the discussion of the entrainment properties, here, as in infinitely large systems, we encounter a partial entrainment of the environment particles by the biased TP but the amount of the entrained particles is bigger.…”

Section: Density Profiles Of the Environment Particlesmentioning

confidence: 61%

Tracer diffusion in crowded narrow channels

Bénichou

Illien

Oshanin

et al. 2018

J. Phys.: Condens. Matter

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We summarise different results on the diffusion of a tracer particle in lattice gases of hard-core particles with stochastic dynamics, which are confined to narrow channels-single-files, comb-like structures and quasi-one-dimensional channels with the width equal to several particle diameters. We show that in such geometries a surprisingly rich, sometimes even counter-intuitive, behaviour emerges, which is absent in unbounded systems. This is well-documented for the anomalous diffusion in single-files. Less known is the anomalous dynamics of a tracer particle in crowded branching single-files-comb-like structures, where several kinds of anomalous regimes take place. In narrow channels, which are broader than single-files, one encounters a wealth of anomalous behaviours in the case where the tracer particle is subject to a regular external bias: here, one observes an anomaly in the temporal evolution of the tracer particle velocity, super-diffusive at transient stages, and ultimately a giant diffusive broadening of fluctuations in the position of the tracer particle, as well as spectacular multi-tracer effects of self-clogging of narrow channels. Interactions between a biased tracer particle and a confined crowded environment also produce peculiar patterns in the out-of-equilibrium distribution of the environment particles, very different from the ones appearing in unbounded systems. For moderately dense systems, a surprising effect of a negative differential mobility takes place, such that the velocity of a biased tracer particle can be a non-monotonic function of the force. In some parameter ranges, both the velocity and the diffusion coefficient of a biased tracer particle can be non-monotonic functions of the density. We also survey different results obtained for a tracer particle diffusion in unbounded systems, which will permit a reader to have an exhaustively broad picture of the tracer diffusion in crowded environments.

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“…Thus, this effect appears to be very robust. For small F , however, the nature of this boundary becomes unimportant [40].…”

Section: Brownian Hard Disks In a Narrow Channelmentioning

confidence: 99%

Driven tracer with absolute negative mobility

Cividini¹,

Mukamel²,

Posch³

2018

J. Phys. A: Math. Theor.

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Instances of negative mobility, where a system responds to a perturbation in a way opposite to naive expectation, have been studied theoretically and experimentally in numerous nonequilibrium systems. In this work we show that Absolute Negative Mobility (ANM), whereby current is produced in a direction opposite to the drive, can occur around equilibrium states. This is demonstrated with a simple one-dimensional lattice model with a driven tracer. We derive analytical predictions in the linear response regime and elucidate the mechanism leading to ANM by studying the high-density limit. We also study numerically a model of hard Brownian disks in a narrow planar channel, for which the lattice model can be viewed as a toy model. We find that the model exhibits Negative Differential Mobility (NDM), but no ANM.

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Driven tracers in narrow channels

Cited by 17 publications

References 43 publications

Optimized Diffusion of Run-and-Tumble Particles in Crowded Environments

Optimized Diffusion of Run-and-Tumble Particles in Crowded Environments

Tracer diffusion in crowded narrow channels

Driven tracer with absolute negative mobility

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